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Local and global statistical distances are equivalent on pure states

Source: Phys. Rev. A 80, 032323 (2009); doi:10.1103/PhysRevA.80.032323

Published 22 September 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.67.-a
    Quantum information
  • YEAR: 2009
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Scott M. Cohen
Department of Physics, Duquesne University, Pittsburgh, Pennsylvania 15282, USA and Department of Physics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213, USA
The statistical distance between pure quantum states is obtained by finding a measurement that is optimal in a sense defined by Wootters. As such, one may expect that the statistical distance will turn out to be different if the set of possible measurements is restricted in some way. It nonetheless turns out that if the restriction is to local operations and classical communication on any multipartite system, then the statistical distance is the same as it is without restriction, being equal to the angle between the states in Hilbert space. ©2009 The American Physical Society
History: Received 15 June 2009; published 22 September 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e032323

REFERENCES (17)

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